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100031232132 = 223213434970743
BaseRepresentation
bin101110100101001010…
…0110111100010000100
3100120012100102002200100
41131022110313202010
53114330443412012
6113542000244100
710140603305166
oct1351224674204
9316170362610
10100031232132
1139472028287
1217478310630
1395821264b0
144bad270936
152906d588dc
hex174a537884

100031232132 has 72 divisors (see below), whose sum is σ = 278640025664. Its totient is φ = 30063047616.

The previous prime is 100031232107. The next prime is 100031232137. The reversal of 100031232132 is 231232130001.

100031232132 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 312 + 321 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100031232137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2465248 + ... + 2505495.

Almost surely, 2100031232132 is an apocalyptic number.

100031232132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100031232132 is an abundant number, since it is smaller than the sum of its proper divisors (178608793532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100031232132 is a wasteful number, since it uses less digits than its factorization.

100031232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970809 (or 4970804 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100031232132 its reverse (231232130001), we get a palindrome (331263362133).

The spelling of 100031232132 in words is "one hundred billion, thirty-one million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1548 1677 2236 3354 5031 6708 10062 20124 4970743 9941486 14912229 19882972 29824458 44736687 59648916 64619659 89473374 129239318 178946748 193858977 213741949 258478636 387717954 427483898 581576931 641225847 775435908 854967796 1163153862 1282451694 1923677541 2326307724 2564903388 2778645337 3847355082 5557290674 7694710164 8335936011 11114581348 16671872022 25007808033 33343744044 50015616066 100031232132